solar tables required by Mr. South’s observations. 69 
6 = a: 4 ’ y X 10 >9 4 z x 14,69 
5,0 5 = x 4 y x 12,3 4 % * 13,86 
4,65 = x 4 y x 13,5 + % x 13,09 
5,85 = x -f x 13,7 + * x 12,89 
4 = x 4 y x 16,7 4 2 x 10,2 
6. 07 = jc 4 jy x 17,3 4 z ^ 9,43 
6,96 = x 4 y x 18,5 -j- % x 7,59 
6,72 = jc 4 y x 18,7 4 z x 7,31 
5,05 = x 4 y x 18,8 4 2: x 7,02 
2.07 = ^4)x 20,3 4 ^ * 2,9 
2 = x 4 y X 20,4 4 2? X 2,6 
4.7 = X 4 y X 20,5 4 * X 1,72 
3,53 = jc 4jy x 20,5 4 2 x 1,°9 
6,23 = x 4 y x 20,5 4 3 x 0,47 
Grouping together those equations in which the sun’s 
anomaly is included between i s 30° and 4 s 30°, between 4 s 30° 
and 7 r 30°, between 7 s 30 0 and 10 s 30°, and between 10 5 30° 
and 1 3 30°, as marked by the divisions above, we have the 
following results. 
Summer of 1821. 
110.42 = 101 — y x 175,3 4 z * 64,81. 
Autumn of 1821. 
207.43 = 201 — y x 82,2 4 2 x 302,51. 
Winter of 1821-1822. 
53,01 = 8 x 4y x 150,9 4 * x 35 > 69 . 
Spring of 1822. 
46,37= 7 x 4 y x 37,5 — z x 101,48. 
Summer of 1822. 
250,2= 23 x — y x 394,9 — z x 20,68. 
Autumn of 1822. 
57,71 = 8 a? 4 y x 13,7 4 ^ x 108,52. 
Winter of 1822. 
47,33 = 10 x 4 y x 192,2 4 2 x 50,33. 
